Let k and K be the minimum and the maximum values of the function $f(x)= \large\frac{(1+x)^{0.6}}{1+x^{0.6}}$ in $[0,1]$ respectively , then the ordered pair $(k,K)$ is equal to :

Question

$\begin{array}{1 1} (1,2^{0.6})\\ (2^{-0.4},2^{0.6}) \\ (2^{-0.6},1) \\ (2^{-0.4},1) \end{array} $